Finding the Fourth Proportional to 12,783.30, 17,641.77 and 7,747.98

Step by Step Solution

1. Step 1: Write the proportion equation
   12,783.30 : 17,641.77 = 7,747.98 : x
2. Step 2: Convert to fraction form
   12,783.30/17,641.77 = 7,747.98/x
3. Step 3: Cross multiply
   12,783.30x = 17,641.77 × 7,747.98
4. Step 4: Simplify right side
   12,783.30x = 136,688,081.12
5. Step 5: Solve for x
   x = 136,688,081.12/12,783.30
6. Step 6: Final answer
   x = 10,692.71